Distributed controller design for LPV/LFT distributed systems in input-output form
This paper considers the controller design problem for parameter-varying distributed systems, whose time/space-varying dynamics can be characterized by temporal/spatial linear parameter-varying (LPV) models defined at the spatially-discretized subsystems. Assuming a rational functional dependence on the scheduling parameters, the distributed LPV model in linear fractional transformation (LFT) form renders analysis and synthesis conditions at the subsystems level with the application of Finsler's lemma and the full block S-procedure technique. The designed distributed controller inherits the interconnected structure of the plant and has a (predefined) fixed structure. Simulation results using a spatially-varying heat equation demonstrate the satisfactory performance of the proposed control design method.
linear fractional transformation (LFT)
Linear parameter-varying (LPV) systems